New results on delay-dependent stability for time-delay chaotic systems via time-delay feedback control

This paper proposes a novel control method for delay-dependent stability of a class of time-delay chaotic systems via standard feedback control (SFC) and delayed feedback control (DFC). Based on a novel Lyapunov-Krasovskii stability theory and linear matrix inequality (LMI) technique, the delay-dependent stability criteria via SFC and DFC are derived. And the method can be obtained to stabilize the system to an unstable fixed point. An example is included to show the advantage of the proposed method.